a circuit is built based on this circuit diagram. what is the equivalent resistance of the circuit? 0.61 ω…

a circuit is built based on this circuit diagram. what is the equivalent resistance of the circuit? 0.61 ω 1.6 ω 7.5 ω 18 ω 12 v 3.0 ω 6.0 ω 9.0 ω

a circuit is built based on this circuit diagram. what is the equivalent resistance of the circuit? 0.61 ω 1.6 ω 7.5 ω 18 ω 12 v 3.0 ω 6.0 ω 9.0 ω

Answer

Explanation:

Step1: Recall parallel - resistance formula

For resistors in parallel, the formula is $\frac{1}{R_{eq}}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}$, where $R_1 = 3.0\Omega$, $R_2=6.0\Omega$, and $R_3 = 9.0\Omega$.

Step2: Calculate the sum of the reciprocals

$\frac{1}{R_{eq}}=\frac{1}{3.0}+\frac{1}{6.0}+\frac{1}{9.0}=\frac{6 + 3+ 2}{18}=\frac{11}{18}$.

Step3: Find the equivalent resistance

$R_{eq}=\frac{18}{11}\approx1.6\Omega$.

Answer:

1.6 Ω